Results 161 to 170 of about 3,221,012 (201)

Roundoff Error and Double Precision

1977
As we have seen, most applications of computers to calculus involve the evaluation of several terms in a sequence. The evaluations continue until some criterion is satisfied. In Figure 1–5 for example, the criterion was that the terms of two sequences differ by less than 10-3. In EXERCISE 5–5 the values of the sequence \( \frac{{f(1.8 + {{10}^{{ - n}}})
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Roundoff errors in floating-point summation

BIT, 1975
All possible schemes for the calculation of the sum ofn addends by means ofn−1 floating-point additions is considered and in case of positive addends it is shown how to use the Huffman algorithm to choose a scheme to obtain the least upper bound on the accumulated roundoff error in the result.
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Roundoff-Error-Free Basis Updates of LU Factorizations for the Efficient Validation of Optimality Certificates

SIAM Journal on Matrix Analysis and Applications, 2017
Adolfo R. Escobedo, Erick Moreno-Centeno
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Efficient Calculation of the Effects of Roundoff Errors

ACM Transactions on Mathematical Software, 1978
John L. Larson, Ahmed H. Sameh
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On the algorithm by Al-Mohy and Higham for computing the action of the matrix exponential: A posteriori roundoff error estimation

, 2017
T. Fischer
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Roundoff error

2001
Saul I. Gass, Carl M. Harris
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Optimal error feedback and realization for roundoff noise minimization in linear discrete-time systems with full-order state observer feedback

International Symposium on Circuits and Systems, 2015
T. Hinamoto, A. Doi, Wu-Sheng Lu
semanticscholar   +1 more source

Roundoff Errors and Error Propagation

2022
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Onsager: Roundoff error update

, 2016
D. Trinkle, Abhinav Jain
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Stairway to Heaven: Accumulation of Roundoff Error

1996
Martin Gardner’s popular “Mathematical Games” column appeared monthly in Scientific American from January 1957 through December 1981. During those 25 years he entertained his readers with discussions of such topics as how to fold adding machine tape into hexaflexagons, John Conway’s Game of Life, and the discoveries of the mysterious numerologist Dr ...
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